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Finding the Fourth Proportional to 402,002.90, 603,004.35 and 380,230.10

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Solution

The fourth proportional to 402,002.90, 603,004.35 and 380,230.10 is: 570,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,002.90 : 603,004.35 = 380,230.10 : x
  2. Step 2: Convert to fraction form
    402,002.90/603,004.35 = 380,230.10/x
  3. Step 3: Cross multiply
    402,002.90x = 603,004.35 × 380,230.10
  4. Step 4: Simplify right side
    402,002.90x = 229,280,404,300.94
  5. Step 5: Solve for x
    x = 229,280,404,300.94/402,002.90
  6. Step 6: Final answer
    x = 570,345.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.